2152400 has 30 divisors (see below), whose sum is σ = 5172102. Its totient is φ = 860800.

The previous prime is 2152399. The next prime is 2152427. The reversal of 2152400 is 42512.

It can be written as a sum of positive squares in 3 ways, for example, as 55696 + 2096704 = 236^2 + 1448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2291 + ... + 3090.

2^2152400 is an apocalyptic number.

2152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152400 is an abundant number, since it is smaller than the sum of its proper divisors (3019702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2152400 is a wasteful number, since it uses less digits than its factorization.

2152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2152400 is about 1467.1059948075. The cubic root of 2152400 is about 129.1142948742.

Adding to 2152400 its reverse (42512), we get a palindrome (2194912).

It can be divided in two parts, 2152 and 400, that added together give a palindrome (2552).

The spelling of 2152400 in words is "two million, one hundred fifty-two thousand, four hundred".